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Help with maths q

3 replies

Taz786 · 01/05/2020 20:02

Can somebody explain the answer to this for me
Please.

There are 15 yellow balls, 10 blue balls and 8 green balls mixed up in a bag.

Paul takes the balls from the bag one by one at random.

He wants to take out at least 2 balls of each colour.
What is the least number of balls that Paul needs to take from the bag to guarantee doing this?

OP posts:
StainlessSteelCat · 01/05/2020 20:06

Worst case scenario is he takes all 15 yellow, then all 10 blue, and finally 2 green. Chances are he'd need to take out fewer than 27, but that doesn't guarantee 2 of each colour

Lougle · 01/05/2020 20:07

I'm thinking it might be 27.

That would mean worst case scenario, he could pick 15 yellows, 10 blue and the remaining 2 would have to be green.

Taz786 · 01/05/2020 20:28

Thank you! This was an 11+ question for my daughter. I know the answer now but wow they are quite tricky

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